Many phenomena show that in a favorable circumstance an agent still has an updating possibility, and in an unfavorable circumstance an agent also has a possibility of holding its own state and reselecting its neighbors. To describe this kind of phenomena an Ising model on evolution networks was presented and used for consensus formation and separation of opinion groups in human population. In this model the state-holding probability p and selection-rewiring probability q were introduced. The influence of this mixed dynamics of spin flips and network rewiring on the ordering behavior of the model was investigated. p hinders ordering of opinion networks and q accelerates the dynamical process of networks. Influence of q on the ordering and separating stems from its effect on average path length of networks.

中文翻译：

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进化网络的Ising模型及其在意见形成中的应用

许多现象表明，在有利的情况下，Agent 仍有更新的可能性，在不利的情况下，Agent 也有保持自己状态并重新选择邻居的可能性。为了描述这种现象，提出了一个关于进化网络的 Ising 模型，并将其用于人群中意见群体的共识形成和分离。在该模型中，引入了状态保持概率 p 和选择重新布线概率 q。研究了这种自旋翻转和网络重新布线的混合动力学对模型排序行为的影响。p 阻碍意见网络的排序，q 加速网络的动态过程。q 对排序和分离的影响源于它对网络平均路径长度的影响。